7,133,172

2² × 3 × 89 × 6679

Starting at 7,133,172, the Collatz iteration reaches 1 after 98 steps. The first transition is 3566586; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 89 × 6679

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,833,600

Proper Divisor Sum 9,700,428

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7133171 ← → #7133177

Radix Representation

Decimal	7133172
Binary	11011001101011111110100 (23 bits)
Octal	0o33153764
Hexadecimal	0x6CD7F4

Divisor Catalog (24)

1 2 3 4 6 12 89 178 267 356 534 1,068 6,679 13,358 20,037 26,716 40,074 80,148 594,431 1,188,862 1,783,293 2,377,724 3,566,586 7,133,172

Collatz Trajectory (98 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,133,172 3,566,586 1,783,293 5,349,880 2,674,940 1,337,470 668,735 2,006,206 1,003,103 3,009,310 1,504,655 4,513,966 2,256,983 6,770,950 3,385,475 10,156,426 5,078,213 15,234,640 7,617,320 3,808,660 1,904,330 952,165 2,856,496 1,428,248 714,124 357,062 178,531 535,594 267,797 803,392 401,696 200,848 100,424 50,212 25,106 12,553 37,660 18,830 9,415 28,246 14,123 42,370 21,185 63,556 31,778 15,889 47,668 23,834 11,917 35,752 17,876 8,938 4,469 13,408 6,704 3,352 1,676 838 419 1,258

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